Least Common Multiple of 2613 and 2618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2613 and 2618 the smallest integer that is 6840834 that is divisible by both numbers.

Least Common Multiple (LCM) of 2613 and 2618 is 6840834.

LCM(2613,2618) = 6840834

LCM of 2613 and 2618

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2613 and 2618

LCM of 2613 and 2618 is 6840834

Least common multiple can be found by multiplying the highest exponent prime factors of 2613 and 2618. First we will calculate the prime factors of 2613 and 2618.

Prime Factorization of 2613


3 2613
13 871
67 67
1

Prime factors of 2613 are 3, 13,67. Prime factorization of 2613 in exponential form is:

2613 = 31×131×671

Prime Factorization of 2618


2 2618
7 1309
11 187
17 17
1

Prime factors of 2618 are 2, 7, 11,17. Prime factorization of 2618 in exponential form is:

2618 = 21×71×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2613 and 2618.

LCM(2613,2618) = 21×31×71×111×131×171×671
LCM(2613,2618) = 6840834

Factors of 2613

List of positive integer factors of 2613 that divides 2613 without a remainder.

1, 3, 13, 39, 67, 201, 871, 2613

Factors of 2618

List of positive integer factors of 2618 that divides 2618 without a remainder.

1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618

Least Common Multiple of 2613 and 2618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2613 and 2618, than apply into the LCM equation.

GCF(2613,2618) = 1
LCM(2613,2618) = ( 2613 × 2618) / 1
LCM(2613,2618) = 6840834 / 1
LCM(2613,2618) = 6840834

Properties of LCM 2613 and 2618

(i) The LCM of 2618 and 2613 is associative

LCM of 2613 and 2618 = LCM of 2618 and 2613

Related Least Common Multiples of 2613

Related Least Common Multiples of 2618

Frequently Asked Questions on LCM of 2613 and 2618

1. What is the LCM of 2613 and 2618?

Answer: LCM of 2613 and 2618 is 6840834.

2. What are the Factors of 2613?

Answer: Factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613. There are 8 integers that are factors of 2613. The greatest factor of 2613 is 2613.

3. What are the Factors of 2618?

Answer: Factors of 2618 are 1, 2, 7, 11, 14, 17, 22, 34, 77, 119, 154, 187, 238, 374, 1309, 2618. There are 16 integers that are factors of 2618. The greatest factor of 2618 is 2618.

4. How to Find the LCM of 2613 and 2618?

Answer:

Least Common Multiple of 2613 and 2618 = 6840834

Step 1: Find the prime factorization of 2613

2613 = 3 x 13 x 67

Step 2: Find the prime factorization of 2618

2618 = 2 x 7 x 11 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 6840834 = 2 x 3 x 7 x 11 x 13 x 17 x 67

Step 4: Therefore, the least common multiple of 2613 and 2618 is 6840834.